Hypercyclicity on the Algebra of Hilbert-Schmidt Operators

被引：1

作者：

Yousefi B. ^{[1
]}

Rezaei H. ^{[1
]}

机构：

[1] Department of Mathematics, College of Sciences, Shiraz University, Shiraz

来源：

Results in Mathematics | 2004年 / 46卷 / 1-2期

关键词：

47L10; Hilbert-Schmidt operators; Hypercyclicity Criterion;

D O I：

10.1007/BF03322879

中图分类号：

学科分类号：

摘要：

We prove that the Hypercyclicity Criterion for any operator T on a Hilbert space is equivalent to the hypercyclicity of the left multiplication operator induced by T on the algebra of Hilbert-Schmidt operators. © 2003, Birkhäuser Verlag, Basel.

引用

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页码：174 / 180

页数：6

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